Help with Physics Problems: Elevator Acceleration & Gravity

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SUMMARY

The discussion focuses on solving two physics problems involving elevator acceleration and gravitational forces. The first problem requires calculating the scale reading for a woman in an accelerating elevator, given her mass of 62.2 kg and the total mass of the elevator and scale as 898.2 kg. The second problem involves determining the acceleration due to gravity for synchronous communications satellites located 2.32 x 107 m above Earth's surface. Key formulas discussed include F = ma for force and acceleration, and F = GmM/r2 for gravitational force.

PREREQUISITES
  • Understanding of Newton's Second Law (F = ma)
  • Familiarity with gravitational force equations (F = GmM/r2)
  • Basic knowledge of mass and weight concepts
  • Ability to perform calculations involving acceleration and force
NEXT STEPS
  • Research how to calculate net force in an accelerating system
  • Learn about gravitational acceleration variations with altitude
  • Study the concept of synchronous orbit and its implications for satellite positioning
  • Explore the universal gravitational constant (G) and its applications in physics
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone interested in understanding forces in motion and gravitational effects on satellites.

chipsdeluxe
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i suck at physics!

can someone please help me with some physics problems?

1. A woman stands on a scale in a moving elevator. Her mass is 62.2 kg, and the combined mass of the elevator and scale is an additional 836 kg. Starting from rest, the elevator accelerates upward. During the acceleration, the hoisting cable applies a force of 9110 N. What does the scale read during the acceleration?

2. Synchronous communications satellites are placed in a circular orbit that is 2.32 x 107 m above the surface of the earth. What is the magnitude of the acceleration due to gravity at this distance?

i don't even know where to start. any help would be great
 
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Force equals mass times acceleration. What would the scale read if the woman were standing on it while it was not accelerating?

You know the mass of the woman, scale, and elevator. Use F= ma to find the acceleration of all of them. Now use F= ma with just the mass of the woman to find what force would give that acceleration to her alone. Add that force to here weight.

F= GmM/r2. Add the radius of the Earth to the height above the Earth to find r, the satellites distance from the earth. You will have to look up G ("universal gravity constant") and M (the Earth's mass). Since acceleration is a= F/m, the "m"s cancel and you don't need to use the satelite's mass.
 

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